updates
Degree of the polynomial $f(x)=0$
If $f(x)=c$ then degree of $f(x)$ is $0$. (c $\neq 0$) If $f(x)=Ax+B$ then degree of $f(x)$ is $1$. (A $\neq 0$) If $f(x)=Ax^2+Bx+C$ then degree of $f(x)$...
Apr 17, 2026
Archive: Updates
updates
Why does $\cos^{-1}\left(\cos(30)\right)$ (using radians) give the digits of $\pi$ after $3$?
I was messing around with my calculator when in radian mode I entered the following $$\cos^{-1}\left(\cos(30)\right)$$ and it gave back $1.4159$. Basicall...
Apr 17, 2026
updates
Square Inches vs Inches Squared
I was just asked the question, is there a difference between 12 square inches and 12 inches squared. At first I assumed that 12 inches squared mean a squa...
Apr 17, 2026
updates
Critical points of a function?
I have a question to solve about maxima and minima on a closed interval, and in this question gave this first step: 1- find the values of f on critical po...
Apr 17, 2026
updates
Can someone explain why $\log e^2$ is equal to $2$.
This may sound like a basic question but why is log (e^2) = 2. I'm not very good with log questions.
Apr 17, 2026
![Cubic Function with two roots and its Derivative function with one root [closed]](https://news.conceivablytech.com/uploads/cubic-function-with-two-roots-and-its-derivative-function-with-one-root-closed_720.jpg)
updates
Cubic Function with two roots and its Derivative function with one root [closed]
I am working on polynomial function, when it is possible for a polynomial function to have less real distinct root than its derivative function. I am curi...
Apr 17, 2026
updates
How do we define density (real one, not mathematical)?
We all know from school that density is defined as mass over volume $$\rho = \frac{m}{V}$$ I'm wondering what the mathematically correct definition o...
Apr 17, 2026
updates
Symbol/notation/strategy for figuring out an unknown inequality?
Let's say there's some relationship I'm trying to figure out between two values (e.g. is A > B or is B > A), and I want to use math to prov...
Apr 17, 2026
updates
What is the smallest possible value of $a+b$?
If $\frac ab$ rounded to the nearest trillionth is $0.008012018027$, where $a$ and $b$ are positive integers, what is the smallest possible value of $a+b$...
Apr 17, 2026
updates
Finding the sum of arithmetic series when last term and common difference is given .
The last term of an arithmetic series of 20 terms is 195 and common difference is 5. Calculate the sum of the series.
Apr 17, 2026
